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Finding the Fourth Proportional to 156,597.71, 216,197.64 and 102,975.20

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Solution

The fourth proportional to 156,597.71, 216,197.64 and 102,975.20 is: 142,166.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,597.71 : 216,197.64 = 102,975.20 : x
  2. Step 2: Convert to fraction form
    156,597.71/216,197.64 = 102,975.20/x
  3. Step 3: Cross multiply
    156,597.71x = 216,197.64 × 102,975.20
  4. Step 4: Simplify right side
    156,597.71x = 22,262,994,948.28
  5. Step 5: Solve for x
    x = 22,262,994,948.28/156,597.71
  6. Step 6: Final answer
    x = 142,166.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.